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Alenkasestr [34]
2 years ago
11

Manuela makes $21 in commissions over the first three hours that she worked selling magazines. How many dollars must she make du

ring the fourth hour to average $8 an hour for the full four hours
Mathematics
2 answers:
eduard2 years ago
8 0

$11

8 x 4 = $32 total for 4 hours

$32 - $21 = $11
atroni [7]2 years ago
7 0

Answer: Manuela must make $11 dollars during the fourth hour

Step-by-step explanation:

In order to calculate the amount of dollars for the fourth hour, you have to calculate the amount of dollars she needs to make in the full four hours:

The average is the amount of dollars earned in 4 hours between the 4 hours. Let <em>A </em>be the average and <em>d </em>be the amount of dollars

<em>A</em>= <em>d</em>/4

A= $8. Replacing A in the expression:

8=d/4

Multiplying by 4 each side:

d=32

Now, if she must make $32 in four hours to average $8 but she already earned $21 in three hours then in the last hour she must make:

$32 - $21 = $11

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english has 26 different letters. how many consecutive words have to be selected in a book to have at least 5 that start with th
Valentin [98]

The words need not be English language words  142506

What is permutation and combination?

A set of elements can be divided into subsets in two different ways: combination and permutation.

                          The components of the subset may be arranged in any order when combined. The components of the subset are listed in a permutation in a certain order.

If the word has 5 different letters  then it is just 26-choose-5 or (26/5).

If the word has 4 different letters  then it is just 26-choose-4 or (26/4)

have 4 options to choose which letter to duplicate twice.

This gives =  4*(26/4)

If the word has 3 different letters  then it is just 26-choose-3 or (26/3).

you duplicate one of the three letters 3 times - 3 options for that, or you choose 2 letters and duplicate each one twice - again 3 options. In total this gives  = 6*(26/3).

If the word has 2 different letters  then it is just 26-choose-2 or (26/2).

The sets of 2 different letters and duplicate either one of the letters 4 times - 2 options; or duplicate one letter 2 times, and the other 3 times - again 2 options. In total this is  = 4*(26/2).

The word has just 1 distinct letter you have =  (26/1).

we get :

N = (26/5)+ 4*(26/4) + 6*(26/3) + 4*(26/2) +  (26/1)

= 142506

The words need not be English language words  = 142506

Learn more about  permutation and combination

brainly.com/question/28065038

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5 0
1 year ago
Solve for xx. Write the smaller solution first, and the larger solution second. X^2 + 12x + 27 = 0x 2 +12x+27=0
sineoko [7]

Answer:

x = -9, -3

Step-by-step explanation:

x^2 + 12x + 27 = 0

We need 2 numbers whose product is  + 27 and whose sum is + 12. These are 3 and 9. So the factors are:-

(x + 3)(x + 9)  and this = 0

So (x + 3) = 0  or x + 9 = 0

x = -3 , -9

7 0
3 years ago
Read 2 more answers
For every 10 fish you have, you need 5 gall how many gallons pf water do u have for 1 fish
frutty [35]
10/5 = 1/x
cross multiply
10x = 5
x = 5/10
x = 1/2...u need 1/2 gallon per fish
4 0
3 years ago
Answer choices:<br>A (3 , -4)<br>B (4 , -7/2)<br>C (-5 , 8)<br>D (5/2 , -17/4)​
zhuklara [117]

Answer: D (5/2, -17/4)

Step-by-step explanation:  Using elimination your goal is to get rid or 1 variable  so you can solve for the one that's left.  By adding the -2y and 2y you will get 0.  You will also add the 3x+x (4x) and -1+11 (10).  You have now gotten rid of the y and have 4x=10.  By dividing each side by 4 we now know x =2.5.  D is the only possible solution with x=2.5 (5/2) but to solve for y you plug 2.5 in to an equation as x so) x-2y=11

                                                                           2.5-2y=11

                                                                            -2y=8.5                                                                        Answer D (5/2,-17/4)                                      y=-17/4 (4.25)

4 0
2 years ago
A commuter must pass through five traffic lights on her way to work, and she will have to stop at each one that is red. After ye
uysha [10]

Answer:

a. (b) 2.5

b. (b) 1.89

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7 0
3 years ago
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